Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
We are given:
AB = 7x + 10
BD = 9x - 2
∠DBC = 9y - 9
∠ABC = 90°
AB = BD
Solving for x:
We are given that AB = BD
7x + 10 = 9x - 2 [since AB = 7x+10 and BD = 9x-2]
10 = 2x - 2 [subtracting 7x from both sides]
2x = 12 [adding 2 on both sides]
x = 6 [dividing both sides by 2]
Hence, x = 6
Solving for y:_______________________________________________
We know that AD is a straight line,
So, ∠ABC and ∠DBC must form a linear pair
∠ABC + ∠DBC = 180°
90 + 9y-9 = 180
9y - 9 = 90 [subtracting 90 from both sides]
9y = 99 [adding 9 on both sides]
y = 11 [dividing both sides by 9]
Hence, y = 11
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.